A family of Hurwitz groups with non-trivial centres

DOI10.1017/S000497270000294XzbMath0571.20040MaRDI QIDQ3688552

Marston D. E. Conder

Publication date: 1986

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

presentationfundamental grouplower central seriesPSL(2,7)finite quotient groupKlein's quartic(2,3,7)-triangle groupone dimensional homology

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Finite simple groups and their classification (20D05) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (2)

Hurwitz groups: A brief survey ⋮ Hurwitz Groups and Hurwitz Generation

Cites Work

• Groups related to compact Riemann surfaces
• On Hurwitz extensions by PSL₂(7)
• Generators for Alternating and Symmetric Groups
• Implementation and Analysis of the Todd-Coxeter Algorithm

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